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Finding the Third Proportional to 6,857,393,634 and 14,883,796,548

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Solution

The third proportional to 6,857,393,634 and 14,883,796,548 is: 32,304,897,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,393,634 : 14,883,796,548 = 14,883,796,548 : x
  2. Step 2: Convert to fraction form
    6,857,393,634/14,883,796,548 = 14,883,796,548/x
  3. Step 3: Cross multiply
    6,857,393,634x = 14,883,796,548 × 14,883,796,548
  4. Step 4: Simplify right side
    6,857,393,634x = 221,527,399,682,256,732,160
  5. Step 5: Solve for x
    x = 221,527,399,682,256,732,160/6,857,393,634
  6. Step 6: Final answer
    x = 32,304,897,677.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.